She was not physically injured during the incident, reported at 1:45 p.m. in Parking Lot E, according to the university.
The man was described as tall, thin and white with black hair and hazel or green eyes. He was wearing a grey sweater, blue jeans and white shoes. He was seen leaving in the direction of Parking Structure 6.
An investigation by SDSU police detectives is underway.
"The incident may be related to the backlash against the American-Muslim community since the recent terror attacks in Paris," the San Diego office of the Council on American-Islamic Relations said Friday in a release.
Anyone with information should call 619-594-1783, remain anonymous by calling Crime Stoppers at 619-235-8477 or e-mail email@example.com.